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Finding the Fourth Proportional to 569.68, 854.60 and 261.56

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Solution

The fourth proportional to 569.68, 854.60 and 261.56 is: 392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.68 : 854.60 = 261.56 : x
  2. Step 2: Convert to fraction form
    569.68/854.60 = 261.56/x
  3. Step 3: Cross multiply
    569.68x = 854.60 × 261.56
  4. Step 4: Simplify right side
    569.68x = 223,529.18
  5. Step 5: Solve for x
    x = 223,529.18/569.68
  6. Step 6: Final answer
    x = 392.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.